What are the energy and momentum eigenfunctions for specific quantum systems?

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Homework Help Overview

The discussion revolves around the energy and momentum eigenfunctions in quantum mechanics, specifically for a free particle and a particle in a box. Participants are exploring foundational concepts related to quantum systems.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning the definitions and characteristics of energy and momentum eigenfunctions. Some express confusion about their absence in textbooks and seek clarification on specific cases.

Discussion Status

The discussion is ongoing, with participants sharing their experiences and seeking specific information. Some have provided links to external resources, but there is no consensus on the eigenfunctions themselves, and the original poster continues to seek clarification.

Contextual Notes

One participant notes a lack of coverage on these topics in their coursework and textbook, which may affect their understanding. There is also a mention of difficulty in locating the information in provided resources.

UrbanXrisis
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just a general and quick question because I'm making a formula sheet for my test tomorrow:

What is the energy eigenfunction for a free particle and what is the momentum eigenfunction for a particle in a box?
 
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Why are you asking?!? If you're taking a QM class, surely you've covered these things in class and they are in your textbook!

:confused: :confused: :confused: :confused: :confused: :confused: :confused:
 
i skipped QM and went into quantum theory so i never went over this. this isn't talked about in my book. all i need to know is the energy eigenfuction for a free particle please? Oh and momentum eigenvalues for a particle in a box?
 
Last edited:
so I've went there already, and coundt find them, which is why I'm asking on this forum. maybe i just can't spot them out?
 
That's an interesting Q though.

What are the momentum eigenfunctions of a particle in a box? The FT of the waves between the walls must look a bit weird.
 

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